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Finding the Third Proportional to 364.88 and 433.22

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Solution

The third proportional to 364.88 and 433.22 is: 514.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.88 : 433.22 = 433.22 : x
  2. Step 2: Convert to fraction form
    364.88/433.22 = 433.22/x
  3. Step 3: Cross multiply
    364.88x = 433.22 × 433.22
  4. Step 4: Simplify right side
    364.88x = 187,678.49
  5. Step 5: Solve for x
    x = 187,678.49/364.88
  6. Step 6: Final answer
    x = 514.36

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These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.